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Finding the Third Proportional to 127,999.50 and 275,622

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Solution

The third proportional to 127,999.50 and 275,622 is: 593,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,999.50 : 275,622 = 275,622 : x
  2. Step 2: Convert to fraction form
    127,999.50/275,622 = 275,622/x
  3. Step 3: Cross multiply
    127,999.50x = 275,622 × 275,622
  4. Step 4: Simplify right side
    127,999.50x = 75,967,486,884
  5. Step 5: Solve for x
    x = 75,967,486,884/127,999.50
  6. Step 6: Final answer
    x = 593,498.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.